The astonishing win of the U.S. presidency by Donald Trump on the Republican ticket has, to put it mildly, overshadowed all other political news out of the 2016 election.

In Suffolk County, which Mr. Trump carried with 52 percent of the vote, a percentage-point more than Democrat Barack Obama did in 2012, there was a variety of less astonishing but still interesting results. Foremost was the, not unrelated, first re-election victory of Congressman Lee Zeldin (R-Shirley).

Suffolk’s Democrats and Republicans have both held nominating conventions, but neither party has decided who will run in November for the North Fork’s open State Assembly seat.

The Suffolk GOP met last Tuesday in Holtsville, but held off on naming a candidate for the Second Assembly district. After the convention, Republican chairman John Jay LaValle said he expected to have a candidate selected by Friday or possibly Monday.

On Monday, he said he expected a decision by Tuesday, but no candidate had been chosen by Tuesday night.

The GOP has screened a number of candidates, including Southold Councilman Chris Talbot, former Ed Romaine aide Bill Faulk of Manorville, Southold Trustee Bob Ghosio, Mattituck attorney Stephen Kiely, New Suffolk attorney Anthony Palumbo, Mount Sinai attorney Raymond Negron and John Kreutz, Brookhaven Town deputy receiver of taxes. Mr. Talbot has opted not to seek re-election to the Southold Town Board this year.

By controlling 67 percent of the district, the Brookhaven GOP would appear to have the upper hand in the selection process.

Suffolk’s Democrats gathered Monday night, but rather than select an Assembly candidate the party took the unusual step of putting the choice in the hands of the Brookhaven, Riverhead and Southold committees. The 2nd Assembly District extends from north central Brookhaven east to Fishers Island.

Riverhead’s Democrats will meet first, holding their convention Thursday night, followed by Brookhaven on May 28 and Southold on May 29.

“This appears to be a close race at this point,” said Southold Democratic chairman Art Tillman. He asked that party members not commit to any one candidate prior to the convention.

“Our small party will have greater influence if we can proceed united at this point and this requires party discipline,” the chairman said in a recent email to committee members.

As is the case with the GOP, Brookhaven’s Democrats may have the final word on the nominee.

If the Republican Party puts up a challenger to County Legislator Al Krupski in November, chances are that person won’t live on the North Fork.

With the county GOP’s nominating convention only days away, the party’s Riverhead and Southold town leaders say they know of no one willing to stand against the popular Democrat, who in January handily beat Riverhead Town Supervisor Sean Walter to fill the seat left vacant when Ed Romaine was elected Brookhaven town supervisor.

Mr. Krupski’s victory, 6,561 votes to 3,182, a margin of 67 percent to Mr. Walter’s 33 percent, prompted the supervisor in conceding to say, “You stomped me bad.” Prior to the vote, GOP leaders said they needed a candidate with significant name recognition, such as an elected official, to run a competitive campaign against Mr. Krupski, who had served in town government for 28 years.

In advance of the party’s May 14 county nominating convention, Republican leaders were scheduled to meet Wednesday to consider potential candidates for the legislative contests and the State Assembly seat left vacant when Dan Losquadro won a special election in March for the Brookhaven highway superintendent’s post.

Regarding the upcoming Krupski race, Brookhaven GOP leader Jesse Garcia deferred to Suffolk GOP Chairman John Jay LaValle, who said his party does not want to forgo the challenge.

“We do have a couple of people looking at it and we’re in discussions with them right now,” Mr. LaValle said on Monday. “We have to run a candidate. I feel pretty strong about that.”

Southold GOP leader Peter McGreevy said no thought was given to cross-endorsing Mr. Krupski, who ran with Republican support in one of his Town Trustee elections.

Suffolk Democrats will hold their convention on Monday, May 20.

Both parties have interviewed numerous potential candidates for the 2nd Assembly District seat, left vacant by Mr. Losquadro. The district covers Riverhead, Southold and a large section of northeastern Brookhaven.

Democrats under consideration include Jim Waters of Waters Crest Winery in Cutchogue and Jennifer Maertz of Rocky Point, who ran unsuccessfully against State Senator Ken LaValle in 2010.

The list of potential GOP candidates includes Southold Councilman Chris Talbot and former Romaine aide Bill Faulk of Manorville.